Question

There are 3 candidates for a Classical, 5 for a Mathematical, and 4 for a Natural science scholarship. Number of ways in which these scholarships can be awarded is :

• A. 12
• B. 60
• C. 720
• D. None of these

Answer 1

The correct option is B 60

As classical scholarship can be awarded any of the 3 students,Mathematical scholarship can be awarded any of the 5 student and Natural science scholarship can be awarded any of the 4 students .

$\therefore$ The number of ways in which scholarships can be awarded=$3\times 5\times 4=60$